Exponential Equations Using Logarithms Practice

1. Consider the equation $-3\cdot e^{5w}=-88$.

   Solve the equation for $w$. Express the solution as a logarithm in base-$e$.

   $w=$
   

   Approximate the value of  $w$. Round your answer to the nearest thousandth.

   $w\approx$

2. Consider the equation $0.5\cdot 10^{8t}=73$.

   Solve the equation for $t$. Express the solution as a logarithm in base-$10$.

   $t=$
   

   Approximate the value of $t$. Round your answer to the nearest thousandth.

   $t\approx$
   

3. Consider the equation $0.5\cdot e^{4z}=13$.

   Solve the equation for $z$. Express the solution as a logarithm in base-$e$.

   $z=$
   

   Approximate the value of $z$. Round your answer to the nearest thousandth.

   $z\approx$ 

4. Consider the equation $-2\cdot 10^{4x}=-300$.

   Solve the equation for $x$. Express the solution as a logarithm in base-$10$.

   $x=$
   

   Approximate the value of $x$. Round your answer to the nearest thousandth.

   $x\approx$
   

Source: Khan Academy, https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:logs/x2ec2f6f830c9fb89:exp-eq-log/e/using-logarithms-to-solve-exponential-equations
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